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We consider a class of nonequilibrium systems of interacting agents withpairwise interactions and quenched disorder in the dynamics featuring, in thethermodynamic limit, phase transitions. We provide conditions on themicroscopic structure of interactions among the agents that lead to a dimensionreduction of the system in terms of a finite number of reaction coordinates.Such reaction coordinates prove to be proper nonequilibrium thermodynamicvariables as they carry information on correlation, memory and resilienceproperties of the system. Phase transitions can be identified andquantitatively characterised as singularities of the complex valuedsusceptibility functions associated to the reaction coordinates. We provideanalytical and numerical evidence of how the singularities affect the physicalproperties of finite size systems.

Response Theory Identifies Reaction Coordinates and Explains Critical Phenomena in Noisy Interacting Systems